118 LearnersLast updated on May 26th, 2025
Factors of 1699
Factors are numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1699, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1699?
The numbers that divide 1699 evenly are known as factors of 1699.
A factor of 1699 is a number that divides the number without a remainder.
Since 1699 is a prime number, it has only two factors: 1 and 1699.
Negative factors of 1699: -1 and -1699.
Prime factors of 1699: 1699 itself as it is a prime number.
Prime factorization of 1699: 1699 (since it is prime).
The sum of factors of 1699: 1 + 1699 = 1700
How to Find Factors of 1699?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1699. Since 1699 is a prime number, the only multiplication that gives 1699 is:
Step 1: Multiply 1699 by 1, 1699 × 1 = 1699.
Therefore, the positive factor pair of 1699 is: (1, 1699).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1699 by 1, 1699 ÷ 1 = 1699.
Step 2: Verify that 1699 is not divisible by any number other than 1 and 1699 itself.
Therefore, the factors of 1699 are: 1 and 1699.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. Since 1699 is a prime number, it cannot be broken down further into other prime factors. The prime factorization of 1699 is: 1699.
Factor Tree
A factor tree is a graphical representation of breaking down any number into prime factors. However, since 1699 is a prime number, it does not have a factor tree other than itself and 1.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pair of 1699: (1, 1699).
Negative factor pair of 1699: (-1, -1699).
Common Mistakes and How to Avoid Them in Factors of 1699
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1699, 1 and 1699 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1699 consist of -1 and -1699.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1699/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1699 are prime numbers. Since 1699 is a prime number itself, it only has two factors, 1 and 1699.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not recognizing that 1699 is a prime number and attempting unnecessary factorization.
Factors of 1699 Examples
Problem 1
There are 1,699 marbles. How can you distribute them evenly among a group of students without any remainder?
You can either distribute them to one student who gets all 1,699 marbles, or each student gets one marble.
Explanation
1699 is a prime number, so it can only be divided by 1 and itself without a remainder.
Thus, you can either give all marbles to one student or give one marble to each of 1,699 students.
Problem 2
A farmer has 1,699 apples and wants to arrange them in rows such that each row has the same number of apples. How many apples can be in each row?
There can be 1,699 apples in one row or 1 apple in each of 1,699 rows.
Explanation
Since 1699 is a prime number, it can only be divided evenly by 1 and itself, allowing only these two options.
Problem 3
A library has 1,699 books and wants to store them on shelves with the same number of books per shelf. How many books can each shelf have?
Each shelf can have 1,699 books in one shelf or 1 book per shelf if there are 1,699 shelves.
Explanation
1699 is a prime number, so it can only be divided by 1 and itself without a remainder, resulting in these two possibilities.
FAQs on Factors of 1699
1.What are the factors of 1699?
2.Mention the prime factors of 1699.
3.Is 1699 a prime number?
4.Mention the factor pair of 1699.
5.What is the square of 1699?
6.How can children in India use numbers in everyday life to understand Factors of 1699?
7.What are some fun ways kids in India can practice Factors of 1699 with numbers?
8.What role do numbers and Factors of 1699 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1699 skills?
Important Glossaries for Factor of 1699
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1699 are 1 and 1699.
- Prime factors: The factors which are prime numbers. For example, 1699 itself is a prime factor as it is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1699 is (1, 1699).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. 1699 is a prime number.
- Division method: A method to determine factors by dividing the number by integers to check for zero remainders.
Explore More numbers
About BrightChamps in India
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
